Translational Speed of Cylinder on Inclined Plane: Find the Answer

[bns1201]

Homework Statement

A solid cylinder with a mass of 1.12 kg and a radius of 0.017 m starts from rest at a height
of 3.40 m and rolls down a 77.7◦ slope. What is the translational speed of the cylin-
der when it leaves the incline? The acceleration of gravity is 9.81 m/s2 . Answer in units
of m/s.

Homework Equations

I have angular speed which is
v=r$$\omega$$

we know r (.017m). But I'm having trouble finding the others.
Any help would be great. Thanks.

 

[method_man]

You need to apply the work-energy principle:
P.E. lost by cylinder=K.E. gained by cylinder
P.E. lost=mgh
K.E. gained= 1/2*mv²+1/2*Iω²
v=rω, I=1/2*mr²

You have got the same problem https://www.physicsforums.com/showthread.php?t=147012".